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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Group classification and conservation laws for a two-dimensional generalized Kuramoto-Sivashinsky equation

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Author(s):
Bozhkov, Y. [1] ; Dimas, S. [1]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas UNICAMP, IMECC, BR-13083970 Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 84, p. 117-135, JUN 2013.
Web of Science Citations: 3
Abstract

The two-dimensional anisotropic Kuramoto-Sivashinsky equation is a fourth-order nonlinear evolution equation in two spatial dimensions that arises in sputter erosion and epitaxial growth on vicinal surfaces. A generalization of this equation is proposed and studied via group analysis methods. The complete group classification of this generalized Kuramoto-Sivashinsky equation is carried out; it is classified according to the property of the self-adjointness and the corresponding conservation laws are established. (C) 2013 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 11/05855-9 - Group analysis of nonlinear differential equations
Grantee:Stylianos Dimas
Support Opportunities: Scholarships in Brazil - Post-Doctoral